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131,297

131,297 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
378
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
792,131
Square (n²)
17,238,902,209
Cube (n³)
2,263,416,143,335,073
Divisor count
2
σ(n) — sum of divisors
131,298
φ(n) — Euler's totient
131,296

Primality

131,297 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131297
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,297)
1 × 131297
First multiples
131,297 · 262,594 (double) · 393,891 · 525,188 · 656,485 · 787,782 · 919,079 · 1,050,376 · 1,181,673 · 1,312,970

Sums & aliquot sequence

As a sum of two squares: 209² + 296²
As consecutive integers: 65,648 + 65,649

Continued fraction of √n

√131,297 = [362; (2, 1, 6, 3, 3, 6, 1, 2, 724)]

Period length 9 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand two hundred ninety-seven
Ordinal
131297th
Binary
100000000011100001
Octal
400341
Hexadecimal
0x200E1
Base64
AgDh
One's complement
4,294,835,998 (32-bit)
Scientific notation
1.31297 × 10⁵
As a duration
131,297 s = 1 day, 12 hours, 28 minutes, 17 seconds
In other bases
ternary (3) 20200002212
quaternary (4) 200003201
quinary (5) 13200142
senary (6) 2451505
septenary (7) 1054535
nonary (9) 220085
undecimal (11) 8a711
duodecimal (12) 63b95
tridecimal (13) 479ba
tetradecimal (14) 35bc5
pentadecimal (15) 28d82
Palindromic in base 15

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλασϟζʹ
Mayan (base 20)
𝋰·𝋨·𝋤·𝋱
Chinese
一十三萬一千二百九十七
Chinese (financial)
壹拾參萬壹仟貳佰玖拾柒
In other modern scripts
Eastern Arabic ١٣١٢٩٧ Devanagari १३१२९७ Bengali ১৩১২৯৭ Tamil ௧௩௧௨௯௭ Thai ๑๓๑๒๙๗ Tibetan ༡༣༡༢༩༧ Khmer ១៣១២៩៧ Lao ໑໓໑໒໙໗ Burmese ၁၃၁၂၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 131293, sexy with 131303.

Unicode codepoint
𠃡
CJK Unified Ideograph-200E1
U+200E1
Other letter (Lo)

UTF-8 encoding: F0 A0 83 A1 (4 bytes).

Hex color
#0200E1
RGB(2, 0, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.225.

Address
0.2.0.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.225

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 131,297 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 131297 first appears in π at position 363,114 of the decimal expansion (the 363,114ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.